Finding the Third Proportional to 81,284.50 and 198,412

Step by Step Solution

1. Step 1: Write the proportion equation
   81,284.50 : 198,412 = 198,412 : x
2. Step 2: Convert to fraction form
   81,284.50/198,412 = 198,412/x
3. Step 3: Cross multiply
   81,284.50x = 198,412 × 198,412
4. Step 4: Simplify right side
   81,284.50x = 39,367,321,744
5. Step 5: Solve for x
   x = 39,367,321,744/81,284.50
6. Step 6: Final answer
   x = 484,315.24